My broad area of interest is in Algebra, mainly Commutative Algebra and its interactions with Homological Algebra, Category Theory, Representation Theory, and Algebraic Geometry. I have worked on exact categories and subfunctors of Ext, Ulrich modules, trace ideals, and module closure operations.
Publications and Preprints
Exact subcategories, subfunctors of Ext, and some applications; joint with Hailong Dao and Souvik Dey; https://arxiv.org/abs/2205.15297, Nagoya Mathematical Journal, pp. 1 - 41, DOI: https://doi.org/10.1017/nmj.2023.29.
Ulrich split rings; joint with Hailong Dao and Souvik Dey, https://arxiv.org/abs/2210.03872.
On containment of trace ideals in ideals of finite homological dimension; joint with Souvik Dey, https://arxiv.org/abs/2312.01230.
Certain Module Closure operations on Cohen--Macaulay Rings; joint with Hailong Dao (In Preparation).